Question 26
Let $\Gamma$ be a circle, $P$ a point outside the circle. The tangents to the circle $\Gamma$ passing through the point $P$ are tangent to the circle $\Gamma$ in $A$ and $B$. Let $M$ is the midpoint $[BP]$ and $C$ the midpoint of the line $ (AM) $ and the circle $\Gamma$. Let $D$ be the second intersection of the line $ (PC) $ and the circle $\Gamma$. Show that the lines $(AD)$ and $(BP)$ are parallel. 